• mathematics, the JordanSchur theorem also known as Jordan's theorem on finite linear groups is a theorem in its original form due to Camille Jordan. In that...
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  • Thumbnail for Camille Jordan
    number of results: The Jordan curve theorem, a topological result required in complex analysis The Jordan normal form and the Jordan matrix in linear algebra...
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  • characterizes primitive groups containing a large p-cycle; and The JordanSchur theorem is an effective proof (in terms of the degree) that linear torsion...
    583 bytes (109 words) - 01:27, 9 November 2023
  • (group theory) JordanSchur theorem (group theory) Jordan's theorem (multiply transitive groups) (group theory) Krull–Schmidt theorem (group theory) Kurosh...
    78 KB (6,293 words) - 12:16, 2 May 2025
  • Thumbnail for Issai Schur
    Schur's inequality Schur's theorem Schur-convex function Schur–Weyl duality Lehmer–Schur algorithm Schur's property for normed spaces. JordanSchur theorem...
    29 KB (3,932 words) - 10:38, 25 January 2025
  • Schur. Frobenius–Schur indicator Herz–Schur multiplier JordanSchur theorem Lehmer–Schur algorithm Schur algebra Schur class Schur's conjecture Schur...
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  • case of the Jordan normal form. The Jordan normal form is named after Camille Jordan, who first stated the Jordan decomposition theorem in 1870. Some...
    45 KB (7,474 words) - 01:07, 9 May 2025
  • Thumbnail for Burnside problem
    invertible n × n complex matrices was finite; he used this theorem to prove the JordanSchur theorem. Nevertheless, the general answer to the Burnside problem...
    17 KB (2,335 words) - 08:05, 19 February 2025
  • Thumbnail for Andreas Speiser
    Leonhard Eulers. CMH Bd.20, 1947, S. 288-318. Hilbert–Speiser theorem JordanSchur theorem Without the efforts of Speiser and the Swiss mathematician Karl...
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  • element is the only element with finite order. Torsion (algebra) JordanSchur theorem E. S. Golod, On nil-algebras and finitely approximable p-groups,...
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  • In linear algebra and functional analysis, a spectral theorem is a result about when a linear operator or matrix can be diagonalized (that is, represented...
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  • key ingredient in the proof of the Kazhdan–Margulis theorem. One can recover the JordanSchur theorem as a corollary to the existence of Zassenhaus neighbourhoods...
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  • Thumbnail for Group of Lie type
    type started with Camille Jordan's theorem that the projective special linear group PSL(2, q) is simple for q ≠ 2, 3. This theorem generalizes to projective...
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  • Thumbnail for Maschke's theorem
    inner product structure, described in the article Schur orthogonality relations. Maschke's theorem was originally proved for the case of representations...
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  • Thumbnail for Burnside's theorem
    In mathematics, Burnside's theorem in group theory states that if G is a finite group of order p a q b {\displaystyle p^{a}q^{b}} where p and q are prime...
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  • Reducing subspace Spectral theorem Singular value decomposition Higher-order singular value decomposition Schur decomposition Schur complement Haynsworth inertia...
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  • Greendlinger's lemma Itô's lemma Jordan's lemma Lovász local lemma Nakayama's lemma Poincaré's lemma Riesz's lemma Schur's lemma Schwarz's lemma Sperner's...
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  • Thumbnail for Lagrange's theorem (group theory)
    In the mathematical field of group theory, Lagrange's theorem states that if H is a subgroup of any finite group G, then | H | {\displaystyle |H|} is...
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  • the complex Schur form which has the eigenvalues of A along its diagonal. Comment: if A is a normal matrix, then T is diagonal and the Schur decomposition...
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  • In algebra, Weyl's theorem on complete reducibility is a fundamental result in the theory of Lie algebra representations (specifically in the representation...
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  • square matrix A {\displaystyle A} , regardless of diagonalizability, has a Schur decomposition given by A = Q U Q ∗ {\displaystyle A=QUQ^{*}} where U {\displaystyle...
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  • Thumbnail for List of group theory topics
    Presentation of a group Product of group subsets Schur multiplier Semidirect product Sylow theorems Hall subgroup Wreath product Butterfly lemma Center...
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  • Thumbnail for Classification of finite simple groups
    numbers are the basic building blocks of the natural numbers. The Jordan–Hölder theorem is a more precise way of stating this fact about finite groups....
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  • Krull–Schmidt theorem holds and the category of finite length modules is a Krull-Schmidt category. The Jordan–Hölder theorem and the Schreier refinement theorem describe...
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  • this area since Sylow. This period saw Hans Zassenhaus's famous Schur-Zassenhaus theorem on the existence of complements to Hall's generalization of Sylow...
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  • Thumbnail for Finite group
    type started with Camille Jordan's theorem that the projective special linear group PSL(2, q) is simple for q ≠ 2, 3. This theorem generalizes to projective...
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  • Hadwiger–Finsler inequality Hinge theorem Hitchin–Thorpe inequality Isoperimetric inequality Jordan's inequality Jung's theorem Loewner's torus inequality Łojasiewicz...
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  • 2140/pjm.1971.36.285. Sanders, Jon Henry (1968). A Generalization of Schur's Theorem, Doctoral Dissertation (PhD). Yale University. Deuber, Walter (1973)...
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  • Thumbnail for Hans Frederick Blichfeldt
    Blichfeldt's work in group theory includes an improved bound for the JordanSchur theorem, that finite linear groups have normal abelian subgroups of index...
    15 KB (1,219 words) - 10:07, 12 December 2024
  • depth (algebra) Fitting lemma Schur's lemma Nakayama's lemma Krull–Schmidt theorem Steinitz exchange lemma Jordan–Hölder theorem Artin–Rees lemma Schanuel's...
    12 KB (1,129 words) - 10:50, 10 October 2024